Upcoming SlideShare
×

738 views

Published on

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
738
On SlideShare
0
From Embeds
0
Number of Embeds
2
Actions
Shares
0
7
0
Likes
0
Embeds 0
No embeds

No notes for slide

1. 1. Chapter 8Rotational Motion
2. 2. Angular Quantities How do I define angular quantities?
3. 3. Rotational Motion Purely rotational : all points on the object move in circles The circle moves around an axis of rotation
4. 4. Angular Quantities
5. 5. Radian Review Radian: The angle subtended by an arc whose angle length is equal to the radius (?!) 1 revolution = 360° = 2π radians A bike wheel rotates 4.50 revolutions. How many radians has it rotated?
6. 6. ExampleA particular bird’s eyecan just distinguishobjects that subtend anangle no smaller than 3x 10-4 rad. (a) Howmany degrees is this?(b) How small an objectcan the bird justdistinguish when flyingat a height of 100m?
7. 7. Angular Kinematics
8. 8. Angular Kinematics
9. 9. Relating Angular and LinearVelocity
10. 10. Relating Angular and LinearVelocity Objects farther from the axis of rotation will move faster
11. 11. Different Accelerations
12. 12. Without Slipping Must have static friction between the rolling object and the surface Tangential accelerations and velocities must be the same ◦ # 13 on HW
13. 13. Relating Linear and RotationalQuantities
14. 14. ExampleA carousel is initially at rest. At t = 0, it is given a constantangular acceleration α = 0.060 rad/s2, which increases itsangular velocity for 8.0 s. At t = 8.0 s, determine the followingquantities:a) The angular velocity of the carouselb) The linear velocity of a child located 2.5 m from the center, Pc) The tangential (linear) acceleration of that childd) The centripetal acceleration of the childe) The total linear acceleration of the child
15. 15. Timing Review
16. 16. Homework Read Section 8.1 Do Problems # 1, 3 – 8, 12, 13 on page 219